Journal of Siberian Federal University. Mathematics & Physics / Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (4)
Authors
Seshagiri Rao, N.; Kalyani, Karusala
Contact information
Seshagiri Rao, N.: Department of Applied Mathematics School of Applied Natural Sciences Adama Science and Technology University Adama, Ethiopia; ; Kalyani, Karusala: Vignan’s Foundation for Science, Technology & Research Andhra Pradesh, India;
Keywords
partially ordered metric spaces; rational contractions; coupled fixed point; monotone property
Abstract

The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature

Pages
492–502
DOI
10.17516/1997-1397-2020-13-4-492-502
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135383